Susanne Saminger, Peter Sarkoci, Bernard De Baets,
"The dominance relation on the class of continuous ordinal sum t-norms"
, in H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt: Theory and Applications of Relational Structures as Knowledge Instruments II, Serie Lecture Notes in Computer Science, Nummer 4342, Springer-Verlag, Berlin Heidelberg, Seite(n) 334-354, 2006
The dominance relation on the class of continuous ordinal sum t-norms
Sprache des Titels:
Theory and Applications of Relational Structures as Knowledge Instruments II
This paper addresses the relation of dominance on the class
of continuous t-norms with a particular focus on continuous ordinal sum t-norms. Exactly, in this framework counter-examples to the conjecture that dominance is not only a reﬂexive and antisymmetric, but also a transitive relation could be found. We elaborate the details which have
led to these results and illustrate them by several examples. In addition, to this original and comprehensive overview, we provide geometrical insight into dominance relationships involving prototypical Archimedean t-norms, the Lukasiewicz t-norm and the product t-norm.